A recent MBA graduate is trying to decide between two job offers, one in Omaha and one in Kansas City. One factor affecting his decision is the cost of a new home in each city. A recent study sampled 88 new home sales in the Omaha area and found that the mean selling price of a new home was $183,900 with a standard deviation of $35,800. A similar Kansas City study based on a sample of 65 new home sales found that the mean selling price was $178,500 with a standard deviation of $29,850.
Conduct a test at the .05 level of significance to determine if there is any difference in the mean selling price of new homes in Omaha versus Kansas City.